the angle which is equals to 4 times of its complement?

Question

explain with clear multiplicaetion si plz

Answer 1

 

 

if  x is the angle, its complement will be (90-x),

because they have to add up to 90, and here x + (90 -x) = 90

 

here in the question, x is equal to 4 times of its complement, so we have

 

x = 4 * (90 - x) --> x = 360 - 4x --> 5x = 360 --> x = 360/5  --> x = 72

 

 

Answer 2

Complementary angles add to 90^o.  Let x = one of the angles.  The other is 4 times greater, or 4x.  So:

 

x + 4x = 90^o

 

Solve for x.  The larger angle is 4x.